Year 9 Higher – Sets 1 & 2

Autumn – highlighted in yellow are difficult topics (possibly only set 1 to learn)

Unit / Lessons / Objectives / Prior Knowledge
  1. Number
/ 30
1.1 Number problems and reasoning / 2 /
  • Find total number of combinations.

1.2 Place value and estimating / 4 /
  • Place value problems.
  • Estimating the value of a square root.
  • Estimate an answer.
/ Rounding numbers to dp & sf.
1.3 HCF & LCM / 4 /
  • Product of prime factors.
  • Find the HCF & LCM of two numbers.
  • Find HCF & LCM using Venn diagrams.
/ Prime numbers
Factors/Multiples
1.4 Calculating with powers (indices) / 4 /
  • Multiply & Divide index laws
  • Brackets Index Laws
/ Powers and square/cube roots
1.5 Zero, negative & fractional indices / 6 /
  • Zero Index Laws
  • Negative index laws
  • Fractional index laws
  • Fractional & Negative index laws

1.6 Powers of 10 and standard form / 4 /
  • Convert between Standard form and Ordinary numbers
  • Multiply/Divide in Standard Form
  • Add/Subtract in Standard Form
/ Multiply/divide by powers of 10
1.7 Surds / 6 /
  • Rational/Irrational numbers
  • Simplify a Surd
  • Combine surds (including double brackets)
  • Rationalise a denominator
/ Square numbers
  1. Algebra
/ 30
2.1 Algebraic Indices / 2 /
  • Simplify algebraic expressions using index laws
/ Index law rules
2.2 Expanding and Factorising / 4 /
  • Expand single brackets
  • Expand two single brackets
  • Factorise single brackets
/ HCF
2.3 Equations / 4 /
  • Solve equations with brackets & fractions
  • Solve worded equations
/ Solve 1 and 2 step equations
2.4 Formulae / 4 /
  • Define expressions, equations formulae and identities
  • Substitute numbers into a formulae
  • Rearrange a formulae
/ Bidmas
2.5 Linear sequences / 4 /
  • Find nth term
  • Determine whether a term is in a sequence
/ Find next term in a sequence.
Write terms in a sequence given the nth term.
2.6 Non-linear sequences / 6 /
  • Introduce geometric sequences
  • Introduce Fibonnaci sequences
  • Find nth term of a quadratic sequence

2.7 More expanding and factorising / 6 /
  • Expand double brackets
  • Factorise quadratics of the form x2 + bx + c.
  • Difference of two squares
/ Factor pairs of integers
End of Term 1 Test

Spring - highlighted in yellow are difficult topics (possibly only set 1 to learn)

Unit / Lessons / Objectives / Prior Knowledge
  1. Interpreting & representing data
/ 14
3.1 Statistical diagrams 1 / 3 /
  • Construct stem & leaf diagrams
  • Construct frequency polygons
  • Construct pie charts
/ Mode, median and range
3.2 Time series / 2 /
  • Plot and interpret time series graphs
  • Use trends to make future predictions

3.3 Scattergraphs / 2 /
  • Plot and interpret scattergraphs
  • Determine whether two variables have a linear relationship
/ Whether lines have positive, negative or zero gradient
Plotting points
3.4 Line of best fit / 1 /
  • Draw a line of best fit on a scattergraph
  • Use the line of best fit to predict values

3.5 Averages and range / 4 /
  • Decide which average is best for a set of data.
  • Modal class and median of a grouped frequency table
  • Estimate mean and range from a grouped frequency table.
/ Find range of a list of numbers.
Find midpoint of two numbers
3.6 Statistical diagrams 2 / 3 /
  • Construct and use two way tables (including fully worded questions)
  • Choose appropriate diagrams to display data
  • Recognise misleading graphs
/ Draw a bar chart.
Draw a pie chart.
  1. Fractions, ratios and percentages
/ 16
4.1 Fractions / 4 /
  • Multiply & divide fractions/mixed numbers
  • Add & subtract fractions/mixed numbers
  • Find the reciprocal of an integer, decimal or fraction
/ Fractions of amounts
Convert between improper fractions and mixed numbers
4.2 Ratios / 3 /
  • Write ratios in the form 1:n / n:1
  • Compare ratios
  • Find quantities using ratios
  • Solve problems involving ratios.
/ Simplify ratios
4.3 Ratio and proportion / 3 /
  • Convert between currencies / measures
  • Use direct proportion
  • Solve problems involving ratios & proportion

4.4 Percentages / 4 /
  • Percentage increase and decrease without a calculator
  • Percentage increase and decrease with the multiplier
  • Solve real-life problems involving percentages
/ Find percentage of a given amount
4.5 Fractions, decimals and percentages / 2 /
  • Convert between fractions, decimals and percentages

  1. Angles and trigonometry
/ 16
5.1 Angle properties of triangles & quadrilaterals / 1 /
  • Sum of angles in triangles & quadrilaterals
  • Sumof angles in isosceles/equilateral triangles
/ Basic angle facts (sum of angles on a line/around a point)
5.3 Exterior angles of a polygon / 2 /
  • Sum of exterior angles of a polygon
  • Find an exterior angle of a regular polygon
  • Use exterior angle of a regular polygon to find number of sides
/ Understand “regular polygon”
Substitute numbers
5.2 Interior angles of a polygon / 3 /
  • Calculate an interior angle of a regular polygon
  • Calculate sum of interior angles of a polygon
  • Use interior angles to solve problems
/ Substitute numbers
Find missing angles in triangles, quads & at a point.
5.4 Pythagoras’ Theorem
5.5 / 4 /
  • Calculate length of the hypotenuse.
  • Calculate length of a shorter side
  • Solve problems (included worded) using Pythagoras
/ Squaring numbers and square rooting.
5.6 Trigonemtry
5.7 / 6 /
  • Use trig ratios to find lengths in right angled triangles (SOHCAHTOA)
  • Use trig ratios to find angles in right angled triangles (SOHCAHTOA)
  • Angles of elevation/depression
  • Know exact values of sine, cosine and tangent of some angles
/ Identify hypotenuse
End of Term 2 Test

Summer – highlighted in yellow are difficult topics (possibly only set 1 to learn)

Unit / Lessons / Objectives / Prior Knowledge
  1. Graphs
/ 20
6.1 Linear graphs / 2 /
  • Find gradient and y-intercept from a linear equation
  • Rearrange an equation into the form y=mx+c
  • Plot graphs with the equation ax+by=c
/ Positive/negative gradients
6.2 More linear graphs / 3 /
  • Sketch graphs using gradients and intercepts
  • Find eq of line, given gradient and one point
  • Find gradient of a line through two points
/ Equation of a line from a graph
6.3 Graphing rates of change / 4 /
  • Draw and interpret distance-time graphs
  • Calculate average speed from a distance time graphs
  • Understand velocity time graphs
  • Find acceleration (gradient) and distance (area under) from velocity times
/ Find speed from given distance/time
Find area of triangles/rectangles
6.4 Real-life graphs / 2 /
  • Draw and interpret real life linear graphs
  • Recognise direct proportion
  • Draw and use a line of best fit

6.5 Line segments / 4 /
  • Find coordinates of the midpoint of a line segment
  • Find gradient and length of a line segment
  • Find equations of lines parallel to a given line
  • Find equations of lines perpendicular to a given line
/ Identify parallel & perpendicular lines
6.6 Quadratic graphs / 2 /
  • Draw quadratic graphs
  • Solve quadratic equations using graphs
  • Interpret quadratic graphs relating to real life situations
/ Identify quadratic expressions.
6.7 Cubic and reciprocal graphs / 2 /
  • Draw cubic graphs
  • Solve cubic equations using graphs
  • Draw reciprocal graphs
  • Recognise a graph from its shape
/ Know shape of linear & quadratic graphs
6.8 More graphs / 1 /
  • Draw the graph of a circle

  1. Area and volume
/ 14
7.1 Perimeter and area / 3 /
  • Find perimeter and area of compound shapes
  • Area of a trapezium
/ Area and perimeter of rectangles, triangles and parallelograms.
7.2 Units and accuracy / 2 /
  • Convert between metric units of area
  • Calculate maximum and minimum possible values of a measurement

7.3 Prisms / 1 /
  • Calculate the volume and surface areas of prisms
/ Volume & SA of cuboids
7.4 Circles / 2 /
  • Calculate area and circumference of a circle
  • Calculate area and circumference of a circle in terms of Pi.
/ Radius/diameter
7.5 Sectors of circles / 2 /
  • Perimeter and area of semicircles and quarter circles
  • Calculate arc lengths and areas of sectors
/ Area/circumference of circles
7.6 Cylinders and spheres / 2 /
  • Calculate volume and surface area of cylinders
  • Calculate volume and surface area of spheres

7.7 Pyramids and cones / 2 /
  • Calculate volume and surface area of pyramids
  • Calculate volume and surface area of cones

  1. Transformations and constructions
/ 20
8.1 3D solid / 2 /
  • Plans and elevations of 3D solids

8.2 Reflection and rotation / 3 /
  • Reflect a shape in a mirror line
  • Rotate a shape about a centre of rotation
  • Describe reflections & rotations

8.3 Enlargement / 3 /
  • Enlarge shapes with a centre of enlargement
  • Enlarge shapes by a fractional scale actor
  • Enlarge shapes by a negative scale factor
  • Describe enlargements

8.4 Translations & combinations of transformations / 2 /
  • Translate a shape using a vector
  • Describe translations
  • Combination of transformations

8.5 Bearings and scale drawings / 3 /
  • Draw and use scales on maps and scale drawings
  • Measure and draw bearings
  • Solve problems involving bearings

8.6 Constructions 1 / 3 /
  • Accurate drawings of triangles (SSS, SAS, ASA)
  • Construct perpendicular bisector of a line
  • Construct perpendicular bisector through a certain point

8.7 Constructions 2 / 2 /
  • Bisect angles
  • Construct angles using a ruler and compass (90’, 60’, 45’, 30’)

8.8 Loci / 2 /
  • Draw a locus
  • Use loci to solve problems

End of Term 3 Test